The Beta-Lindley Distribution: Properties and Applications

We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the lite...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.188-197-116
Main Authors: Merovci, Faton, Sharma, Vikas Kumar
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Bayesian analysis
Confidence intervals
Density
Distribution (Probability theory)
Economic models
Mathematical analysis
Mathematical models
Modelling
Statistics
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Description
Summary:We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the literature. Expressions for the density, moment generating function, and rth moment of the order statistics also are obtained. Further, we also discuss estimation of the unknown model parameters in both classical and Bayesian setup. The usefulness of the new model is illustrated by means of two real data sets. We hope that the new distribution proposed here will serve as an alternative model to other models available in the literature for modelling positive real data in many areas.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/198951